Answer: 200 minutes have to be used for the costs of both plans to be the same.
Step-by-step explanation:
Let x represent the number of minutes that have to be used for the costs of both plans to be the same.
Package A is $35.00 per month with an additional charge of $0.15 per minute for long distance. This means that the cost of using package A for x minutes in a month would be
35 + 0.15x
Package B is $45.00 per month with an additional charge of $0.10 per minute for long distance. This means that the cost of using package A for x minutes in a month would be
45 + 0.1x
For both costs to be the same, it means that
35 + 0.15x = 45 + 0.1x
0.15x - 0.1x = 45 - 35
0.05x = 10
x = 10/0.05
x = 200
Answer: Number 1 is c=89 ft
Number 2 is b=3 cm
Step-by-step explanation: a²+b²=c²
For number 1, 39 ft is a and 80 ft is b so
39²+80²=c² so 39² is 39x39=1521 and 80² is 80x80=6400 so 6400+1521=7921
7921=c² and the square root of 7921 is 89 so c=89 ft
For number 2, a=1.6 cm and c=3.4 cm so 3.4²-1.6²=b²
3.4² so 3.4x3.4 which is 11.56
1.6² so 1.6x1.6 which is 2.56
11.56-2.56=c² and 11.56-2.56=9
Square root of 9 is 3 so b=3
So number 2 answer is b=3 cm
I hope this helps
The volume of a cone uses the following formula:
Our diameter is 20 feet, so divide this by 2 to find the radius:
We now have all of our values need to fill in the formula. Plug in these values:
The volume of the cone is
1780 cubic feet.
Answer:
the domain of the function f(x) is 
the range of the function f(x) is 
Step-by-step explanation:
Consider the parent function 
The domain og this function is 
the range of this function is 
The function 
is translated function 
7 units to the right and 9 units up, so
the domain of the function f(x) is
the range of the function f(x) is
